Cybernetics and Systems Analysis

, Volume 50, Issue 2, pp 234–238 | Cite as

Parameterization of the Lottery Model of Nonparametric Decision-Making Situation

  • V. I. Ivanenko
  • O. V. Kuts
  • I. O. Pasichnichenko
Article

Abstract

The paper focuses on the parametric description of a nonparametric decision-making situation, i.e., where it is impossible to reveal the objective parameter determining the consequences of decisions. For the case of strict uncertainty, the classes of matrix schemes containing those and only those schemes that can be used to model certain nonparametric situation are described and the formula for class cardinality is proved. The cases are established where there are grounds to choose the matrix scheme with the smallest, in its class, cardinality of the set of values of the parameter.

Keywords

strict uncertainty decision making lottery scheme matrix scheme parameterization 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • V. I. Ivanenko
    • 1
  • O. V. Kuts
    • 1
  • I. O. Pasichnichenko
    • 2
  1. 1.National Technical University of Ukraine “Kyiv Polytechnic Institute”KyivUkraine
  2. 2.Institute for Applied Systems AnalysisNational Academy of Sciences of UkraineKyivUkraine

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